Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems

DOI10.1016/S0377-0427(97)00159-3zbMath0878.73068MaRDI QIDQ1356995

Xiao-liang Cheng, Weimin Han, Hong-ci Huang

Publication date: 11 January 1998

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

locking phenomenonoptimal order error estimatessmall parametersPetrov-Galerkin formulationreduced integration techniquebubble function space

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

Free in-plane vibration of curved beam structures: A tutorial and the state of the art ⋮ Stability and convergence of mixed methods for elastic rods of arbitrary geometry ⋮ Analysis of a least squares finite element method for the circular arch problem. ⋮ Least-squares finite element approximations to the Timoshenko beam problem. ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999) ⋮ A finite element method for Reissner-Mindlin plates

Cites Work

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• Discretization by finite elements of a model parameter dependent problem
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• The inf-sup condition and error estimates for the Arnold-Falk plate bending element
• Mixed finite element methods for the circular arch problem
• Mixed finite element methods for elastic rods of arbitrary geometry
• Discretization of the Timoshenko beam problem by the p and the h-p versions of the finite element method
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• A Finite Element Method for the Mindlin–Reissner Plate Model
• ERROR ANALYSIS OF MIXED-INTERPOLATED ELEMENTS FOR REISSNER-MINDLIN PLATES
• Mixed and Hybrid Finite Element Methods
• Uniform convergence of mixed interpolated elements for Reissner-Mindlin plates
• On Mixed Finite Element Methods for the Reissner-Mindlin Plate Model
• Equivalent Norms for Sobolev Spaces

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